By using the standard series, derive the first four non-zero terms of the power series expansion of

Question

By using the standard series, derive the first four non-zero terms of the power series expansion of $\frac{\ln (1+2x)}{\sqrt{1+2x}}$. Write down the range of values of $x$ for the expansion to be valid

Accepted Answer

2x-4x^2+(23/3)x^3-(44/3)x^4+..., valid for -1/2<x<1/2.

Maclaurin Series and Power Series - Binomial Expansion as a Maclaurin Series

Maclaurin Series and Power Series - Binomial Expansion as a Maclaurin Series

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